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Finding the Fourth Proportional to 533,419.60, 800,348.10 and 196,621.60

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Solution

The fourth proportional to 533,419.60, 800,348.10 and 196,621.60 is: 295,013.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,419.60 : 800,348.10 = 196,621.60 : x
  2. Step 2: Convert to fraction form
    533,419.60/800,348.10 = 196,621.60/x
  3. Step 3: Cross multiply
    533,419.60x = 800,348.10 × 196,621.60
  4. Step 4: Simplify right side
    533,419.60x = 157,365,723,978.96
  5. Step 5: Solve for x
    x = 157,365,723,978.96/533,419.60
  6. Step 6: Final answer
    x = 295,013.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.